| Base | Representation |
|---|---|
| bin | 1000100100011010… |
| … | …0110101101010000 |
| 3 | 12221022020202220222 |
| 4 | 2021012212231100 |
| 5 | 14202323210000 |
| 6 | 1020125252212 |
| 7 | 111000314414 |
| oct | 21106465520 |
| 9 | 5838222828 |
| 10 | 2300210000 |
| 11 | a80454900 |
| 12 | 542404068 |
| 13 | 2a871990a |
| 14 | 17b6c4d44 |
| 15 | d6e13a85 |
| hex | 891a6b50 |
2300210000 has 150 divisors (see below), whose sum is σ = 6124559826. Its totient is φ = 836000000.
The previous prime is 2300209993. The next prime is 2300210009. The reversal of 2300210000 is 120032.
It can be written as a sum of positive squares in 5 ways, for example, as 1461991696 + 838218304 = 38236^2 + 28952^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 2300210000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2300210009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209050 + ... + 1210950.
Almost surely, 22300210000 is an apocalyptic number.
2300210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2300210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062279913).
2300210000 is an abundant number, since it is smaller than the sum of its proper divisors (3824349826).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2300210000 is a wasteful number, since it uses less digits than its factorization.
2300210000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1951 (or 1919 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 8.
The square root of 2300210000 is about 47960.5045845016. The cubic root of 2300210000 is about 1320.0462946726.
Adding to 2300210000 its reverse (120032), we get a palindrome (2300330032).
The spelling of 2300210000 in words is "two billion, three hundred million, two hundred ten thousand".
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